Homework 0 (Due Never: Review problems M215):
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Homework 1 (Due Monday Jan. 18th in class):
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Homework 2 (Due: Monday Jan. 25th in class):
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Homework 3: (Due: Monday Feb. 1st in class):
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Homework 4: (Due: Wed. Feb. 10th):
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Midterm 1: Questions and
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Homework 5: (Due: February 29th):
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Homework 6: (Due: March 7th):
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Homework 7: (Due: March 14th):
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Sample Midterm 2: Questions
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Homework 8: (Due: March 23rd):
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Midterm 2: Questions and
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Homework 9: (Due: April 1st):
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Homework 10: (Due: April 8th):
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Lecture 1 :
Review of ODE
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Lecture 2 :
Series Solutions to ODE
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Lecture 3 :
Regular Singular Points
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Lecture 4 :
Frobenius Series
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Lecture 5 :
Example: Bessel's equation and Bessel functions
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Lecture 6 :
Introduction to PDE I
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Lecture 7 :
Introduction to PDE II
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Lecture 8 :
Separation of Variables and Fourier Series
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Lecture 9 :
Fourier Sine Series
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Lecture 10 :
Fourier Cosine Series
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Lecture 11 :
Heat Equation on a Circular Ring
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Lecture 12:
Full Range Fourier Series
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Lecture 13 :
Half Range Fourier Series
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Lecture 14 :
Convergence of Fourier Series
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Fourier series notes :
More notes and worked examples of Fourier series
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Lecture 15 :
Bessel's Inequality and Parseval's Theorem
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Lecture 16 :
Heat Conduction with Inhomogeneous BC I
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Lecture 17 :
Heat Conduction with Inhomogeneous BC II
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Lecture 18 :
Heat Conduction with Distributed Sources
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Lecture 19 :
Heat Equation with Time Dependent BCs
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Lecture 20 :
Wave Equation on the Line: D'Alembert's Solution
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Lecture 21 :
Wave Equation on the Line: Interpreting D'Alembert's Solution
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Lecture 22 :
Wave Equation on Finite Domains: Separation of Variables
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Lecture 23 :
Laplace's Equation
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Lecture 24 :
Laplace's Equation: Neumann, Mixed-BC, and Semi-Infinite Strip Problems
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Lecture 25 :
Laplace's Equation: Circular Domains
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Lecture 26 :
More Circular Domain Problems
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Lecture 27 :
Sturm-Liouville Eigenvalue Problems
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Lecture 28 :
Heat Equation: Robin BC
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Lecture 29 :
Heat and Laplace Problems Involving Euler's Equations
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Lecture 30 :
Finite Difference Methods for PDEs
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